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-rw-r--r--src/c/matrixOperations/powm/Makefile.am86
-rw-r--r--src/c/matrixOperations/powm/Makefile.in784
-rw-r--r--src/c/matrixOperations/powm/cpowma.c64
-rw-r--r--src/c/matrixOperations/powm/dpowma.c72
-rw-r--r--src/c/matrixOperations/powm/spowma.c72
-rw-r--r--src/c/matrixOperations/powm/testDoublePowm.c138
-rw-r--r--src/c/matrixOperations/powm/testFloatPowm.c136
-rw-r--r--src/c/matrixOperations/powm/test_DoublePowm/testDoublePowm.vcxproj178
-rw-r--r--src/c/matrixOperations/powm/test_DoublePowm/testDoublePowm.vcxproj.filters22
-rw-r--r--src/c/matrixOperations/powm/test_FloatPowm/testFloatPowm.vcxproj178
-rw-r--r--src/c/matrixOperations/powm/test_FloatPowm/testFloatPowm.vcxproj.filters22
-rw-r--r--src/c/matrixOperations/powm/zpowma.c64
12 files changed, 1816 insertions, 0 deletions
diff --git a/src/c/matrixOperations/powm/Makefile.am b/src/c/matrixOperations/powm/Makefile.am
new file mode 100644
index 0000000..5f6ef26
--- /dev/null
+++ b/src/c/matrixOperations/powm/Makefile.am
@@ -0,0 +1,86 @@
+##
+## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+## Copyright (C) 2008-2008 - INRIA - Arnaud TORSET
+##
+## This file must be used under the terms of the CeCILL.
+## This source file is licensed as described in the file COPYING, which
+## you should have received as part of this distribution. The terms
+## are also available at
+## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+##
+##
+
+libMatrixPow_la_CFLAGS = -I $(top_builddir)/src/c/type \
+ -I $(top_builddir)/includes \
+ -I $(top_builddir)/src/c/operations/includes\
+ -I $(top_builddir)/src/c/auxiliaryFunctions/includes\
+ -I $(top_builddir)/src/c/elementaryFunctions/includes\
+ -I $(top_builddir)/src/c/matrixOperations/includes
+
+
+instdir = $(top_builddir)/lib
+
+pkglib_LTLIBRARIES = libMatrixPow.la
+
+HEAD = ../includes/matrixPow.h
+
+libMatrixPow_la_SOURCES = $(HEAD) \
+ spowma.c\
+ dpowma.c\
+ cpowma.c\
+ zpowma.c
+
+check_PROGRAMS = testDoubleMatrixPow testFloatMatrixPow
+
+check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \
+ $(top_builddir)/src/c/type/libFloatComplex.la \
+ $(top_builddir)/src/fortran/lapack/libscilapack.la \
+ $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \
+ $(top_builddir)/src/c/auxiliaryFunctions/sign/libSign.la \
+ $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \
+ $(top_builddir)/src/c/auxiliaryFunctions/frexp/libFrexp.la \
+ $(top_builddir)/src/c/auxiliaryFunctions/conj/libConj.la \
+ $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \
+ $(top_builddir)/src/c/elementaryFunctions/exp/libExp.la \
+ $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \
+ $(top_builddir)/src/c/elementaryFunctions/pow/libPow.la \
+ $(top_builddir)/src/c/elementaryFunctions/log/libLog.la \
+ $(top_builddir)/src/c/elementaryFunctions/log1p/libLog1p.la \
+ $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la\
+ $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \
+ $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \
+ $(top_builddir)/src/c/elementaryFunctions/sinh/libSinh.la \
+ $(top_builddir)/src/c/matrixOperations/spec2/libSpec2.la \
+ $(top_builddir)/src/c/matrixOperations/zeros/libMatrixZeros.la \
+ $(top_builddir)/src/c/matrixOperations/inversion/libMatrixInversion.la \
+ $(top_builddir)/src/c/matrixOperations/transpose/libMatrixTranspose.la \
+ $(top_builddir)/src/c/matrixOperations/cat/libMatrixConcatenation.la \
+ $(top_builddir)/src/c/matrixOperations/expm/libMatrixExponential.la \
+ $(top_builddir)/src/c/matrixOperations/logm/libLogm.la \
+ $(top_builddir)/src/c/matrixOperations/infiniteNorm/libMatrixInfiniteNorm.la \
+ $(top_builddir)/src/c/matrixOperations/eye/libMatrixEye.la \
+ $(top_builddir)/src/c/matrixOperations/multiplication/libMatrixMultiplication.la \
+ $(top_builddir)/src/c/matrixOperations/division/libMatrixDivision.la \
+ $(top_builddir)/src/c/operations/addition/libAddition.la \
+ $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \
+ $(top_builddir)/src/c/operations/subtraction/libSubtraction.la \
+ $(top_builddir)/src/c/operations/division/libDivision.la \
+ $(top_builddir)/src/fortran/blas/libsciblas.la \
+ libMatrixPow.la
+
+check_INCLUDES = -I $(top_builddir)/src/c/type \
+ -I $(top_builddir)/src/c/includes \
+ -I $(top_builddir)/src/c/auxiliaryFunctions/includes\
+ -I $(top_builddir)/src/c/elementaryFunctions/includes\
+ -I $(top_builddir)/src/c/operations/includes\
+ -I $(top_builddir)/src/c/matrixOperations/includes
+
+testDoubleMatrixPow_SOURCES = testDoublePowm.c
+testDoubleMatrixPow_LDADD = $(check_LDADD)
+testDoubleMatrixPow_CFLAGS = $(check_INCLUDES)
+
+testFloatMatrixPow_SOURCES = testFloatPowm.c
+testFloatMatrixPow_LDADD = $(check_LDADD)
+testFloatMatrixPow_CFLAGS = $(check_INCLUDES)
+
+TESTS = testDoubleMatrixPow testFloatMatrixPow
diff --git a/src/c/matrixOperations/powm/Makefile.in b/src/c/matrixOperations/powm/Makefile.in
new file mode 100644
index 0000000..20e1660
--- /dev/null
+++ b/src/c/matrixOperations/powm/Makefile.in
@@ -0,0 +1,784 @@
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+# @configure_input@
+
+# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
+# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation,
+# Inc.
+# This Makefile.in is free software; the Free Software Foundation
+# gives unlimited permission to copy and/or distribute it,
+# with or without modifications, as long as this notice is preserved.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY, to the extent permitted by law; without
+# even the implied warranty of MERCHANTABILITY or FITNESS FOR A
+# PARTICULAR PURPOSE.
+
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+host_triplet = @host@
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+ testFloatMatrixPow$(EXEEXT)
+TESTS = testDoubleMatrixPow$(EXEEXT) testFloatMatrixPow$(EXEEXT)
+subdir = src/c/matrixOperations/powm
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+ libMatrixPow_la-spowma.lo libMatrixPow_la-dpowma.lo \
+ libMatrixPow_la-cpowma.lo libMatrixPow_la-zpowma.lo
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+ $(LIBTOOLFLAGS) --mode=link $(CCLD) $(libMatrixPow_la_CFLAGS) \
+ $(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
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+
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+ libMatrixPow.la
+
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+ -I $(top_builddir)/src/c/operations/includes\
+ -I $(top_builddir)/src/c/matrixOperations/includes
+
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+install-info-am:
+
+install-man:
+
+install-pdf: install-pdf-am
+
+install-pdf-am:
+
+install-ps: install-ps-am
+
+install-ps-am:
+
+installcheck-am:
+
+maintainer-clean: maintainer-clean-am
+ -rm -rf ./$(DEPDIR)
+ -rm -f Makefile
+maintainer-clean-am: distclean-am maintainer-clean-generic
+
+mostlyclean: mostlyclean-am
+
+mostlyclean-am: mostlyclean-compile mostlyclean-generic \
+ mostlyclean-libtool
+
+pdf: pdf-am
+
+pdf-am:
+
+ps: ps-am
+
+ps-am:
+
+uninstall-am: uninstall-pkglibLTLIBRARIES
+
+.MAKE: check-am install-am install-strip
+
+.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
+ clean-checkPROGRAMS clean-generic clean-libtool \
+ clean-pkglibLTLIBRARIES ctags distclean distclean-compile \
+ distclean-generic distclean-libtool distclean-tags distdir dvi \
+ dvi-am html html-am info info-am install install-am \
+ install-data install-data-am install-dvi install-dvi-am \
+ install-exec install-exec-am install-html install-html-am \
+ install-info install-info-am install-man install-pdf \
+ install-pdf-am install-pkglibLTLIBRARIES install-ps \
+ install-ps-am install-strip installcheck installcheck-am \
+ installdirs maintainer-clean maintainer-clean-generic \
+ mostlyclean mostlyclean-compile mostlyclean-generic \
+ mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \
+ uninstall-am uninstall-pkglibLTLIBRARIES
+
+
+# Tell versions [3.59,3.63) of GNU make to not export all variables.
+# Otherwise a system limit (for SysV at least) may be exceeded.
+.NOEXPORT:
diff --git a/src/c/matrixOperations/powm/cpowma.c b/src/c/matrixOperations/powm/cpowma.c
new file mode 100644
index 0000000..d023a7a
--- /dev/null
+++ b/src/c/matrixOperations/powm/cpowma.c
@@ -0,0 +1,64 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <stdlib.h>
+#include "matrixPow.h"
+#include "spec.h"
+#include "pow.h"
+#include "matrixTranspose.h"
+#include "conj.h"
+#include "matrixInversion.h"
+#include "matrixMultiplication.h"
+
+void cpowma(floatComplex* in, int rows, floatComplex power, floatComplex* out){
+ int i=0, j=0;
+ int hermitian=0;
+ floatComplex *eigenvalues,*eigenvectors,*tmp;
+
+ /* Data initialization */
+ eigenvalues = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
+ eigenvectors = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
+ tmp = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
+
+ /* symmetric test*/
+ for(i=0;i<rows;i++) {
+ for (j=0;j<rows;j++)
+ if ((creals(in[i*rows+j])!=creals(in[j*rows+i])) || (cimags(in[i*rows+j])!=-cimags(in[j*rows+i]))) break;
+
+ if (j!=rows) break;
+ }
+
+ if ((i==rows)&&(j==rows)) hermitian=1;
+
+
+ /* find eigenvalues and eigenvectors */
+ cspec2a(in, rows, eigenvalues,eigenvectors);
+
+ /* make operation on eigenvalues and eigenvectors */
+ for (i=0;i<rows;i++)
+ eigenvalues[i+i*rows]=cpows(eigenvalues[i+i*rows],power);
+
+ cmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
+
+ if (hermitian){
+ ctransposea(eigenvectors, rows,rows, eigenvalues);
+ cconja(eigenvalues, rows*rows, eigenvalues);
+ }
+ else cinverma(eigenvectors, eigenvalues, rows);
+
+ cmulma(tmp, rows, rows, eigenvalues, rows, rows, out);
+
+ free(eigenvalues);
+ free(eigenvectors);
+ free(tmp);
+
+}
diff --git a/src/c/matrixOperations/powm/dpowma.c b/src/c/matrixOperations/powm/dpowma.c
new file mode 100644
index 0000000..b38f973
--- /dev/null
+++ b/src/c/matrixOperations/powm/dpowma.c
@@ -0,0 +1,72 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <stdlib.h>
+#include "matrixPow.h"
+#include "spec.h"
+#include "pow.h"
+#include "matrixTranspose.h"
+#include "conj.h"
+#include "zeros.h"
+#include "matrixInversion.h"
+#include "matrixMultiplication.h"
+
+void dpowma(double* in, int rows, double power, double* out){
+ int i=0, j=0;
+ int symmetric=0;
+ doubleComplex *eigenvalues,*eigenvectors,*tmp;
+ double* ZEROS;
+
+ /* Data initialization */
+ eigenvalues = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
+ eigenvectors = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
+ tmp = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
+ ZEROS=(double*)malloc((unsigned int)(rows*rows)*sizeof(double));
+
+ /* symmetric test*/
+ for(i=0;i<rows;i++) {
+ for (j=0;j<rows;j++)
+ if (in[i*rows+j]!=in[j*rows+i]) break;
+
+ if (j!=rows) break;
+ }
+
+ if ((i==rows)&&(j==rows)) symmetric=1;
+
+
+
+ dzerosa(ZEROS,rows,rows);
+ tmp = DoubleComplexMatrix(in,ZEROS,rows*rows);
+ /* find eigenvalues and eigenvectors */
+ zspec2a(tmp, rows, eigenvalues,eigenvectors);
+/* for (i=0;i<rows*rows;i++) printf("%f+%f*i\n",zreals(eigenvalues[i]),zimags(eigenvalues[i])); */
+ /* make operation on eigenvalues and eigenvectors */
+ for (i=0;i<rows;i++)
+ eigenvalues[i+i*rows]=zpows(eigenvalues[i+i*rows],DoubleComplex(power,0));
+
+ zmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
+
+ if (symmetric){
+ ztransposea(eigenvectors, rows,rows, eigenvalues);
+ zconja(eigenvalues, rows*rows, eigenvalues);
+ }
+ else zinverma(eigenvectors, eigenvalues, rows);
+
+ zmulma(tmp, rows, rows, eigenvalues, rows, rows, eigenvectors);
+
+ for (i=0;i<rows*rows;i++) out[i]=zreals(eigenvectors[i]);
+
+ free(eigenvalues);
+ free(eigenvectors);
+ free(tmp);
+
+}
diff --git a/src/c/matrixOperations/powm/spowma.c b/src/c/matrixOperations/powm/spowma.c
new file mode 100644
index 0000000..b416656
--- /dev/null
+++ b/src/c/matrixOperations/powm/spowma.c
@@ -0,0 +1,72 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <stdlib.h>
+#include "matrixPow.h"
+#include "spec.h"
+#include "pow.h"
+#include "matrixTranspose.h"
+#include "conj.h"
+#include "zeros.h"
+#include "matrixInversion.h"
+#include "matrixMultiplication.h"
+
+void spowma(float* in, int rows, float power, float* out){
+ int i=0, j=0;
+ int symmetric=0;
+ floatComplex *eigenvalues,*eigenvectors,*tmp;
+ float* ZEROS;
+
+ /* Data initialization */
+ eigenvalues = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
+ eigenvectors = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
+ tmp = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
+ ZEROS = (float*)malloc((unsigned int)(rows*rows)*sizeof(float));
+
+ /* symmetric test*/
+ for(i=0;i<rows;i++) {
+ for (j=0;j<rows;j++)
+ if (in[i*rows+j]!=in[j*rows+i]) break;
+
+ if (j!=rows) break;
+ }
+
+ if ((i==rows)&&(j==rows)) symmetric=1;
+
+ szerosa(ZEROS,rows,rows);
+ tmp = FloatComplexMatrix(in,ZEROS,rows*rows);
+
+ /* find eigenvalues and eigenvectors */
+ cspec2a(tmp, rows, eigenvalues,eigenvectors);
+
+ /* make operation on eigenvalues and eigenvectors */
+ for (i=0;i<rows;i++)
+ eigenvalues[i+i*rows]=cpows(eigenvalues[i+i*rows],FloatComplex(power,0));
+
+ cmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
+
+ if (symmetric){
+ ctransposea(eigenvectors, rows,rows, eigenvalues);
+ cconja(eigenvalues, rows*rows, eigenvalues);
+ }
+ else cinverma(eigenvectors, eigenvalues, rows);
+
+ cmulma(tmp, rows, rows, eigenvalues, rows, rows, eigenvectors);
+
+ for (i=0;i<rows*rows;i++) out[i]=creals(eigenvectors[i]);
+
+
+ free(eigenvalues);
+ free(eigenvectors);
+ free(tmp);
+
+}
diff --git a/src/c/matrixOperations/powm/testDoublePowm.c b/src/c/matrixOperations/powm/testDoublePowm.c
new file mode 100644
index 0000000..b948b54
--- /dev/null
+++ b/src/c/matrixOperations/powm/testDoublePowm.c
@@ -0,0 +1,138 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "matrixPow.h"
+#include <stdio.h>
+#include <assert.h>
+#include <math.h>
+
+
+static void dpowmaTest(void){
+ double in1[4]={1,5,4,2};
+ double expand1=2.2;
+ double result1R[4]={ 27.93459280052221771484 , 23.580294119266994812278 ,
+ 18.864235295413593007652 , 32.650651624375619519469 };
+ double out1[4];
+ int i;
+
+ double in2[16]={ 2.5358983855694532394409 , 9.0725262500345706939697, 0.0026536155492067337036, 3.9639251008629798889160 ,
+ 7.9845732506364583969116, 7.5407014600932598114014, 10.196942830458283424377 , 8.2287722378969192504883 ,
+ 10.538597775623202323914, 0.8204884417355060577393, 6.7301832754164934158325, 7.9482832476496696472168,
+ 8.7162081208080053329468 , 2.3821726106107234954834 , 6.5310877952724695205688, 2.784897476434707641602 };
+ double expand2 = 3.4683557949028909206390;
+ double result2R[16]={13801.893971410685480805 , 9622.6108799100766191259 , 10325.586569611912636901, 10694.791005280343597406 ,
+ 24728.411825244897045195 , 18392.823733925368287601 , 18631.05868385956637212 , 19357.84707477861229563 ,
+ 16169.682243927050876664 , 12258.542785024719705689 , 12630.164466338968850323 , 12827.915677254180991440 ,
+ 13742.841851328515986097 , 10198.0420642120679986 , 10658.784670951883526868 , 10839.51135004585739807 };
+ double out2[16];
+
+
+ dpowma(in1, 2, expand1, out1);
+ dpowma(in2, 4, expand2, out2);
+
+ for (i=0;i<4;i++) {
+ assert( fabs(out1[i]-result1R[i]) / fabs(out1[i]) <3e-15);
+ }
+
+ for (i=0;i<16;i++) {
+ assert( fabs(out2[i]-result2R[i]) / fabs(out2[i]) <3e-14);
+ }
+
+}
+
+/* FIXME : assert 1e-14 */
+static void zpowmaTest(void){
+ /* Tests 1 */
+ {
+ double inR[9]={1,2,3,4,5,6,7,8,9};
+ double inI[9]={1,2,3,4,5,6,7,8,9};
+ double resultR[9]={- 4.7115011361608578610571,- 2.0782061409646632732517,0.5550888542315330909105,
+ - 2.3202132490900626571317,- 2.4412168031527574640904,- 2.5622203572154611528333,
+ 0.0710746379807356554181,- 2.80422746534086453352,- 5.6795295686624518438634};
+ double resultI[9]={- 12.188702380084603049681,- 4.0827818504168584823333,4.0231386792508754268738,
+ - 3.0919079733956360556135,- 2.5964710348850239540752,- 2.1010340963744131848046,
+ 6.0048864332933264975622,- 1.1101602193531934226201,- 8.2252068719997026846613};
+ doubleComplex *in,out[9];
+ int i;
+
+ in=DoubleComplexMatrix(inR,inI,9);
+
+ zpowma(in, 3, DoubleComplex(1,1), out);
+
+ for (i=0;i<9;i++) printf("out[%d] = %f+%f*i\n",i,zreals(out[i]),zimags(out[i]));
+
+ for (i=0;i<9;i++){
+ assert( (fabs(zreals(out[i])-resultR[i])/ fabs(zreals(out[i])) ) <3e-13);
+ assert( (fabs(zimags(out[i])-resultI[i])/ fabs(zimags(out[i])) ) <3e-13);
+ }
+ }
+
+ /* Tests 2 and 3 */
+ {
+ double in1R[4]={1,5,4,2};
+ double in1I[4]={0};
+ double expand1=2.2;
+ double result1R[4]={ 27.93459280052221771484 , 23.580294119266994812278 ,
+ 18.864235295413593007652 , 32.650651624375619519469 };
+ double result1I[4]={ 3.6611113731522362257920 , - 3.6611113731522362257920 ,
+ - 2.9288890985217883589087 , 2.9288890985217883589087 };
+ doubleComplex out1[4];
+ int i;
+
+ double in2R[16]={ 2.5358983855694532394409 , 9.0725262500345706939697, 0.0026536155492067337036, 3.9639251008629798889160 ,
+ 7.9845732506364583969116, 7.5407014600932598114014, 10.196942830458283424377 , 8.2287722378969192504883 ,
+ 10.538597775623202323914, 0.8204884417355060577393, 6.7301832754164934158325, 7.9482832476496696472168,
+ 8.7162081208080053329468 , 2.3821726106107234954834 , 6.5310877952724695205688, 2.784897476434707641602 };
+ double in2I[16]={0};
+ double expand2 = 3.4683557949028909206390;
+ double result2R[16]={13801.893971410685480805 , 9622.6108799100766191259 , 10325.586569611912636901, 10694.791005280343597406 ,
+ 24728.411825244897045195 , 18392.823733925368287601 , 18631.05868385956637212 , 19357.84707477861229563 ,
+ 16169.682243927050876664 , 12258.542785024719705689 , 12630.164466338968850323 , 12827.915677254180991440 ,
+ 13742.841851328515986097 , 10198.0420642120679986 , 10658.784670951883526868 , 10839.51135004585739807 };
+ double result2I[16]={ - 7.1981835972120027378196 , 1.9386514637886893552832, - 17.692616672339234185074 , 24.561537532538231687340 ,
+ - 2.2418859631076406557781 , 0.6037961445855435371755, - 5.5103941755046683681485, 7.649730724813480264857 ,
+ - 4.865855522250573272913 , 1.310496989059492634056 , - 11.95992230200565309417 , 16.603201547139228466676 ,
+ 16.00935601900000193609 , - 4.3117212921047043394651 , 39.34984366402868971591 , - 54.626892107189902958453 };
+ doubleComplex out2[16];
+ doubleComplex *in1,*in2;
+
+
+ in1=DoubleComplexMatrix(in1R,in1I,4);
+ in2=DoubleComplexMatrix(in2R,in2I,16);
+
+ zpowma(in1, 2, DoubleComplex(expand1,0), out1);
+ zpowma(in2, 4, DoubleComplex(expand2,0), out2);
+
+ for (i=0;i<4;i++) {
+ assert( fabs(zreals(out1[i])-result1R[i]) / fabs(zreals(out1[i])) <3e-15);
+ assert( fabs(zimags(out1[i])-result1I[i]) / fabs(zimags(out1[i])) <3e-15);
+ }
+
+ /*
+ FIXME : assert 1e-11 maybe due to spec2
+ */
+ for (i=0;i<16;i++) {
+ printf("out[%d] = %1.16f+%1.16f*i --- result = %1.16f+%1.16f*i\n",i,zreals(out2[i]),zimags(out2[i]),result2R[i],result2I[i]);
+ assert( fabs(zreals(out2[i])-result2R[i]) / fabs(zreals(out2[i])) <3e-11);
+ assert( fabs(zimags(out2[i])-result2I[i]) / fabs(zimags(out2[i])) <3e-11);
+ }
+ }
+
+}
+
+
+int main(void){
+ dpowmaTest();
+ zpowmaTest();
+ return 0;
+}
+
diff --git a/src/c/matrixOperations/powm/testFloatPowm.c b/src/c/matrixOperations/powm/testFloatPowm.c
new file mode 100644
index 0000000..4b4b016
--- /dev/null
+++ b/src/c/matrixOperations/powm/testFloatPowm.c
@@ -0,0 +1,136 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "matrixPow.h"
+#include <stdio.h>
+#include <assert.h>
+#include <math.h>
+
+
+static void spowmaTest(void){
+ float in1[4]={1,5,4,2};
+ float expand1=2.2f;
+ float result1R[4]={ 27.93459280052221771484f , 23.580294119266994812278f ,
+ 18.864235295413593007652f , 32.650651624375619519469f };
+ float out1[4];
+ int i;
+
+ float in2[16]={ 2.5358983855694532394409f , 9.0725262500345706939697f, 0.0026536155492067337036f, 3.9639251008629798889160f ,
+ 7.9845732506364583969116f, 7.5407014600932598114014f, 10.196942830458283424377f , 8.2287722378969192504883f ,
+ 10.538597775623202323914f, 0.8204884417355060577393f, 6.7301832754164934158325f, 7.9482832476496696472168f,
+ 8.7162081208080053329468f , 2.3821726106107234954834f , 6.5310877952724695205688f, 2.784897476434707641602f };
+ float expand2 = 3.4683557949028909206390f;
+ float result2R[16]={13801.893971410685480805f , 9622.6108799100766191259f , 10325.586569611912636901f, 10694.791005280343597406f ,
+ 24728.411825244897045195f , 18392.823733925368287601f , 18631.05868385956637212f , 19357.84707477861229563f ,
+ 16169.682243927050876664f , 12258.542785024719705689f , 12630.164466338968850323f , 12827.915677254180991440f ,
+ 13742.841851328515986097f , 10198.0420642120679986f , 10658.784670951883526868f , 10839.51135004585739807f };
+ float out2[16];
+
+
+ spowma(in1, 2, expand1, out1);
+ spowma(in2, 4, expand2, out2);
+
+ for (i=0;i<4;i++) {
+ assert( fabs(out1[i]-result1R[i]) / fabs(out1[i]) <1e-6);
+ }
+
+
+ for (i=0;i<16;i++) {
+
+ assert( fabs(out2[i]-result2R[i]) / fabs(out2[i]) <1e-6);
+ }
+
+}
+
+static void cpowmaTest(void){
+
+
+ {
+ float inR[9]={1,2,3,4,5,6,7,8,9};
+ float inI[9]={1,2,3,4,5,6,7,8,9};
+ float resultR[9]={- 4.7115011361608578610571f,- 2.0782061409646632732517f,0.5550888542315330909105f,
+ - 2.3202132490900626571317f,- 2.4412168031527574640904f,- 2.5622203572154611528333f,
+ 0.0710746379807356554181f,- 2.80422746534086453352f,- 5.6795295686624518438634f};
+ float resultI[9]={- 12.188702380084603049681f,- 4.0827818504168584823333f,4.0231386792508754268738f,
+ - 3.0919079733956360556135f,- 2.5964710348850239540752f,- 2.1010340963744131848046f,
+ 6.0048864332933264975622f,- 1.1101602193531934226201f,- 8.2252068719997026846613f};
+ floatComplex *in,out[9];
+ int i;
+
+ in=FloatComplexMatrix(inR,inI,9);
+
+ cpowma(in, 3, FloatComplex(1,1), out);
+
+ for (i=0;i<9;i++) printf("out[%d] = %f+%f*i\n",i,creals(out[i]),cimags(out[i]));
+
+ for (i=0;i<9;i++){
+ assert( (fabs(creals(out[i])-resultR[i])/ fabs(creals(out[i])) ) <3e-5);
+ assert( (fabs(cimags(out[i])-resultI[i])/ fabs(cimags(out[i])) ) <1e-6);
+ }
+ }
+
+
+ {
+
+ float in1R[4]={1,5,4,2};
+ float in1I[4]={0};
+ float expand1=2.2f;
+ float result1R[4]={ 27.93459280052221771484f , 23.580294119266994812278f ,
+ 18.864235295413593007652f , 32.650651624375619519469f };
+ float result1I[4]={ 3.6611113731522362257920f , - 3.6611113731522362257920f ,
+ - 2.9288890985217883589087f , 2.9288890985217883589087f };
+ floatComplex out1[4];
+ int i;
+
+ float in2R[16]={ 2.5358983855694532394409f , 9.0725262500345706939697f, 0.0026536155492067337036f, 3.9639251008629798889160f ,
+ 7.9845732506364583969116f, 7.5407014600932598114014f, 10.196942830458283424377f , 8.2287722378969192504883f ,
+ 10.538597775623202323914f, 0.8204884417355060577393f, 6.7301832754164934158325f, 7.9482832476496696472168f,
+ 8.7162081208080053329468f , 2.3821726106107234954834f , 6.5310877952724695205688f, 2.784897476434707641602f };
+ float in2I[16]={0};
+ float expand2 = 3.4683557949028909206390f;
+ float result2R[16]={13801.893971410685480805f , 9622.6108799100766191259f , 10325.586569611912636901f, 10694.791005280343597406f ,
+ 24728.411825244897045195f , 18392.823733925368287601f , 18631.05868385956637212f , 19357.84707477861229563f ,
+ 16169.682243927050876664f , 12258.542785024719705689f , 12630.164466338968850323f , 12827.915677254180991440f ,
+ 13742.841851328515986097f , 10198.0420642120679986f , 10658.784670951883526868f , 10839.51135004585739807f };
+ float result2I[16]={ - 7.1981835972120027378196f , 1.9386514637886893552832f, - 17.692616672339234185074f , 24.561537532538231687340f ,
+ - 2.2418859631076406557781f , 0.6037961445855435371755f, - 5.5103941755046683681485f, 7.649730724813480264857f ,
+ - 4.865855522250573272913f , 1.310496989059492634056f , - 11.95992230200565309417f , 16.603201547139228466676f ,
+ 16.00935601900000193609f , - 4.3117212921047043394651f , 39.34984366402868971591f , - 54.626892107189902958453f };
+ floatComplex out2[16];
+ floatComplex *in1,*in2;
+
+ in1=FloatComplexMatrix(in1R,in1I,4);
+ in2=FloatComplexMatrix(in2R,in2I,16);
+
+
+ cpowma(in1, 2, FloatComplex(expand1,0), out1);
+ cpowma(in2, 4, FloatComplex(expand2,0), out2);
+
+ for (i=0;i<4;i++) {
+ assert( fabs(creals(out1[i])-result1R[i]) / fabs(creals(out1[i])) <1e-6);
+ assert( fabs(cimags(out1[i])-result1I[i]) / fabs(cimags(out1[i])) <1e-6);
+ }
+
+
+ for (i=0;i<16;i++) {
+ assert( fabs(creals(out2[i])-result2R[i]) / fabs(creals(out2[i])) <1e-6);
+ assert( fabs(cimags(out2[i])-result2I[i]) / fabs(cimags(out2[i])) <1e-6);
+ }
+ }
+}
+
+
+int main(void){
+ spowmaTest();
+ cpowmaTest();
+ return 0;
+}
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+ </ItemGroup>
+</Project> \ No newline at end of file
diff --git a/src/c/matrixOperations/powm/zpowma.c b/src/c/matrixOperations/powm/zpowma.c
new file mode 100644
index 0000000..0de5647
--- /dev/null
+++ b/src/c/matrixOperations/powm/zpowma.c
@@ -0,0 +1,64 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <stdlib.h>
+#include "matrixPow.h"
+#include "spec.h"
+#include "pow.h"
+#include "matrixTranspose.h"
+#include "conj.h"
+#include "matrixInversion.h"
+#include "matrixMultiplication.h"
+
+void zpowma(doubleComplex* in, int rows, doubleComplex power, doubleComplex* out){
+ int i=0, j=0;
+ int hermitian=0;
+ doubleComplex *eigenvalues,*eigenvectors,*tmp;
+
+ /* Data initialization */
+ eigenvalues = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
+ eigenvectors = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
+ tmp = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
+
+ /* hermitian test*/
+ for(i=0;i<rows;i++) {
+ for (j=0;j<rows;j++)
+ if ((zreals(in[i*rows+j])!=zreals(in[j*rows+i])) || (zimags(in[i*rows+j])!=-zimags(in[j*rows+i]))) break;
+
+ if (j!=rows) break;
+ }
+
+ if ((i==rows)&&(j==rows)) hermitian=1;
+
+
+ /* find eigenvalues and eigenvectors */
+ zspec2a(in, rows, eigenvalues,eigenvectors);
+
+ /* make operation on eigenvalues and eigenvectors */
+ for (i=0;i<rows;i++)
+ eigenvalues[i+i*rows]=zpows(eigenvalues[i+i*rows],power);
+
+ zmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
+
+ if (hermitian){
+ ztransposea(eigenvectors, rows,rows, eigenvalues);
+ zconja(eigenvalues, rows*rows, eigenvalues);
+ }
+ else zinverma(eigenvectors, eigenvalues, rows);
+
+ zmulma(tmp, rows, rows, eigenvalues, rows, rows, out);
+
+ free(eigenvalues);
+ free(eigenvectors);
+ free(tmp);
+
+}